2993877348 has 288 divisors, whose sum is σ = 9509606400. Its totient is φ = 715080960.

The previous prime is 2993877331. The next prime is 2993877353. The reversal of 2993877348 is 8437783992.

2993877348 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2993877291 and 2993877300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7145083 + ... + 7145501.

Almost surely, 2^2993877348 is an apocalyptic number.

2993877348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993877348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754803200).

2993877348 is an abundant number, since it is smaller than the sum of its proper divisors (6515729052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2993877348 is a wasteful number, since it uses less digits than its factorization.

2993877348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The square root of 2993877348 is about 54716.3352939504. The cubic root of 2993877348 is about 1441.2677473846.

The spelling of 2993877348 in words is "two billion, nine hundred ninety-three million, eight hundred seventy-seven thousand, three hundred forty-eight".